i think a streaming release through a single site (perhaps the band's own?) the day before it goes to purchase outlets would probably solve this problem pretty easily.

This. I'm all for using every possible method of social media to promote work because it makes it maximizes accessibility, but coordinating an initial release should not be chaotic and multifaceted. Release the song on your site (and possibly foreign mirror sites at the same time?) and then follow up with releases on YouTube, Soundcloud, Bandcamp, etc.